Line g is dilated by a scale factor of 2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related?
coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F
The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' are parallel.
The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.
The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F.
The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.
Answers
Answer:
The points where E' and F' are located after dilation and how the lines g and g' are related are;
The locations E' and F' are E'(-8, 0) and F'(0, 4), and lines g and g' are parallel
Please see attached plot of lines g and g' created with MS Excel
Step-by-step explanation:
When an object is dilated by a scale factor, the length of the sides of the image formed is given as follows;
The length of the image = The length of the figure × The scale factor
The given parameters are;
The center of dilation = (0, 0) Dilated from the origin
The coordinates of the endpoint of the line 'g' = E(-4, 0), F(0, 2)
Therefore, we have;
The 'x', and 'y' coordinates of the point E' on the image from the center of dilation (0, 0) = (-4 × 2, 0 × 2) = (-8, 0)
The 'x', and 'y' coordinates of the point F' on the image from the center of dilation (0, 0) = (0 × 2, 2 × 2) = (0, 4)
Therefore, the coordinates of the point E' and F' on line g' = E'(-8, 0) and F'(0, 4)
Given that the proportion of the distances of E and E' to center of dilation (to the origin) and F and F' center of dilation are equal by the triangle proportionality theorem, EF is parallel to E'F' and the lines g and g' are said to be parallel
Therefore;
The coordinate of point E' = (-8, 0) and The coordinate of point F' = (0, 4)
Ling g is parallel to line g'
Answer:
The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' are parallel.
Step-by-step explanation:
Now give the other guy the brainliest. xoxo
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john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three numbers
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John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5
Can I have brainllest
A prism has a length of 7 feet, height of 1 foot, and width of 4 feet. Which expressions show how to calculate the volume of this prism? Check all that apply. 1 + 7(4) 1(4)(7) 4(4)(4) 4 + 1 + 7 4(7)(1) 7(4)(1)
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Answer:
B)
E)
F)
hopes this helps :)
Answer:
B.)
E.)
F.)
Step-by-step explanation:
i did math edgu 2022. person above me is correct.
pleas e help !?!?!!j
Answers
Answer:
see explanation
Step-by-step explanation:
step 2 : 4x + 4 - 2x = - 6x + 6 + 14
Simplify both sides by collecting like terms ← what was done
step 3 : 2x + 4 = - 6x + 20
------------------------------------------
step 4 : 8x + 4 = 20
Subtract 4 from both sides ← what was done
8x = 16
John gave away 20% of his savings to Charlie he gave away $80 how much did John have in his savings. PLSSSS HEELPP
Answers
Answer:
$400
Step-by-step explanation:
20% = 1/5
$80 x 5 = $400
Find the surface area of the figure below.
Answers
Answer:
696.8 mm^2
Step-by-step explanation:
Well first lets find the bottom part of the square first.
13*13= 169
Thats the floor
13*5= 65
Thats 1 of the sides
there are 4 sides
65*4= 260
260+169= 429
Now find the triangle
(13*10.3) / 2
You’d get 66.95
66.95 *4 since there are 4 sides
You’d get 267.80
267.8+429= 696.8
how do i solve f^2+3f-5=0
Answers
Answer:
[tex] x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}[/tex]
Step-by-step explanation:
This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .
Wrt . Standard form ,
[tex]\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}[/tex]
This is our required answer.
Alyssa created a new how-to video for her DIY website and is curious how much her viewers like the new video. She
decides to poll the next 100 viewers who share her video on social media. Eighty-five percent of the viewers she
polled responded that they "loved" the new video. Which statement best describes the results of this poll?
Exactly 85% of all viewers that viewed the video loved it.
It is most likely that more than 85% of all viewers that viewed the video actually loved it.
It is most likely that less than 85% of all viewers that viewed the video actually loved it.
Exactly 15% of all viewers that viewed the video did not love it.
Answers
Answer: (C) It is most likely that less than 85% of all viewers that viewed the video actually loved it.
Step-by-step explanation:
Answer:
c c c c c c c c c c c c cc. c. c
Step-by-step explanation:
An angle measures 32° less than the measure of its complementary angle. What is the
measure of each angle?
Answers
Answer:
First angle = x
Second angle = x - 32
We know that, complementary angles form => 90°
So,
[tex]x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61[/tex]
First angle,
=> x = 61°
Second angle
[tex]x - 32 \\ = 61 - 32 \\ = 29[/tex]
Second angle,
=> 29°
(≧▽≦)
HELP PLEASE I WILL GIVE BRAINLIST
Answers
Answer:
19
Step-by-step explanation:
it’s the only one within Q3
pleaseee help me with this Kahn!!
Answers
Answer:
9
Step-by-step explanation:
The given two triangles must be similar by AA similarity Condition . Therefore ,
∆EDA ~ ∆ CBA .And the corresponding sides of the similar triangles are Proportional . Therefore ,
⇒ ED/ CB = AD/AB
⇒ 11/2 = 3 + x / 3
⇒ 33 = 2(3+x)
⇒ 6 + 3x = 33
⇒3x = 33 - 6
⇒ 3x = 27
⇒ x = 27/3
⇒ x = 9
Hence the value of x is 9 .Concept 10.3: Find the area of the shaded sector. Round to the nearest tenth.
Answers
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
Here's your solution
=> area of circle = πr^2
,=> area = (22/7)*6*6
=> area = 113.04 insq
=> area of sector =( πr^2*8°)/360°
=> area of sector = 2.51 insq
=> area of shaded region = 113.04 - 2.51
=> area = 110.53 in.sq
hope it helps
Which points are on the graph of the equation
Answers
Answer: C (0,-2) is one of them.
The area, A, of an isosceles right triangle is a function of the length of its legs, s, and is represented by the equation: A=.[tex]\frac{1}{2} S^{2}[/tex]
Is this function linear or nonlinear? Explain and justify your answer.
Answers
Answer:
None linear
Step-by-step explanation:
Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B В
12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
10 cm, 24 cm, 26 cm
Answers
Answer: C
Step-by-step explanation: a^2 + b^2 = c^2
A. 6^2 + 8^2 = 10^2
B. 12^2 + 35^2 = 37^2
C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52 10^2 = 100)
D. 10^2 + 24^2 = 26^2
The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
For the triangle sides:
6 cm, 8 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=8^2+6^2[/tex]
100 = 100
These sides satisfy the Pythagoras formula.
For the triangle sides:
12 cm, 35 cm, and 37 cm
From the Pythagoras theorem:
[tex]37^2=35^2+12^2[/tex]
1369 = 1369
These sides satisfy the Pythagoras formula.
For the triangle sides:
4 cm, 6 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=6^2+4^2[/tex]
100 ≠ 52
These sides do not satisfy the Pythagoras formula.
For the triangle sides:
10 cm, 24 cm, and 26 cm
From the Pythagoras theorem:
[tex]26^2=24^2+10^2[/tex]
676 = 676
These sides satisfy the Pythagoras formula.
Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
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which the following segments is a diameter of o.
Answers
p-by-step exe right answer
Stplanation:Answer:
B is the
Answer:
D
Step-by-step explanation:
The diameter of a circle is the length from one point on the circle to another point on the circle while passing the center. D is the only option it gives you that does this.
Which answer choice shows a solution set in which all values, when input for x, will be true?
482x<12
{2, 4, 6, 8}
{4, 6, 8}
{1, 3, 5}
{1, 2, 3, 4}
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Trianas age is 5 years less than 3 times her brothers age. Trianas age is 11 minus her brothers age. How old is Triana?
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Answer: 7
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A square piece of sheet metal has an area of 25 square meters. How long is each side?
Answers
25=side^2
Side=5
If y = 12 when x = 3, find x when y = 6.
I need this by tonight I don’t understand this part of my work
Answers
Answer:
X would equal 1.5
Step-by-step explanation:
if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5
how to solve 2x^2 - 4x = 3
Answers
Answer:
1 ± i(1/2)√2
Step-by-step explanation:
Write this quadratic in standard form: subtract 3 from both sides. This results in 2x^2 - 4x - 3 = 0. Let's apply the quadratic formula. The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.
Following the format of the quadratic formula, we get
-(-4) ±i2√8 4 ±i2√2
x = ----------------- = --------------- = 1 ± i(1/2)√2
4 4
Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo
Answers
Answer:
El orden es;
1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado
Step-by-step explanation:
Los términos dados son;
Cuadrilátero; Una forma con cuatro lados
Rombo; Un cuadrilátero con cuatro lados iguales
Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos
Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos
Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos
Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término
Por lo tanto, tenemos,
La primera forma es el cuadrilátero,
El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)
El ángulo del rombo se ajusta para dar un paralelogramo
El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo
El rectángulo se ajusta para dar un cuadrado con todos los lados iguales
The diagonal of a square is x units. What is the area of the square in terms of x?
o 1/2x^2 square units
O x^2 square units
2x square units
1/2x square units
Answers
Answer:
1/2(x²) square units
Step-by-step explanation
From the question,
Area of a Square(A) = L²
A = L²................. Equation 1
Where L = Lenght of the square
If the diagonal of the square is x,
Using pythagoras theorem,
a² = b²+c².................. Equation 2
Wherer a = x, b = c= L
Therefore,
x² = L²+L²
x² = 2L²
L² = x²/2
L = √(x²/2)
Substitute the value of L into equation 1
A = [√(x²/2)]²
A = x²/2 square unit.
A = 1/2(x²) square unit.
The right option is 1/2(x²) square units
PLEASE HELP
Which statement is true?
Answers
The x - coordinate of A' is _____
. The y - coordinate of A' is _____
Help Please ;-;
Answers
Answer:
The new coordinates are : (5,4)
Step-by-step explanation:
Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten
5
8
of the box, and Bill has eaten
1
4
of the box of cereal. How many ounces are left in the box?
Answers
Answer:
2 ounces
Step-by-step explanation:
1 = 5/8 - 1/4 = 1/8
16 x 1/8 = 2 oz
Answer:
2 ounces left
Step-by-step explanation:
if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)
1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left
4 minus 1.2
what is it 2.8 instead of 3.2?
Answers
Answer:
2.8 is correct
Step-by-step explanation:
4.0
- 1.2
The 0 becomes 10
10 - 2 = 8
The 4 becomes 3
3 - 1 =2
2.8
colin bought a postcard for 45 cents . he gave the cashier $1 how much change did he receive
Answers
Answer: $.55
Step-by-step explanation:
The value of cost he received in change is,
⇒ 55 cents
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Colin bought a postcard for 45 cents.
And, he gave the cashier $1.
Since, We know that;
1 dollar = 100 cents
Hence, The value of cost he received in change is,
⇒ 100 cents - 45 cents
⇒ 55 cents
Thus, The value of cost he received in change is,
⇒ 55 cents
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Pleassssseee heelelllppp
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answers
Answer:
Ten Peaches and five bananas.
Step-by-step explanation
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
3x – 4y = -43
- 4x 4y = -36
Subtract to eliminate y.
Subtract to eliminate x.
Add to eliminate x.
Add to eliminate y.
Answers
Answer:
Add to eliminate y
Step-by-step explanation:
Add to eliminate y
Athena deposits $500 into a savings account that earns 5.4% simple interest. She will not make any additional deposits or withdrawals. How much interest will Athena earn at the end of 3 years?
Answers
Answer:
Interest earned= $81
Step-by-step explanation:
Giving the following information:
Athena deposits $500 into a savings account that earns 5.4% simple interest.
Number of periods= 3 years
To calculate the interest earned, we need to use the following formula:
I= P*r*t
P= principal
t= number of periods
I= 500*0.054*3
I= $81